Answer:
co-ordinates are (-3,7) and (5,7)
or
(-3,-5) and (5,-5)
length of diagonal=10 units
Step-by-step explanation:
length of diagonal
d=\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10 ~units\\or\\d=\sqrt{(5+3)^2+(1-7)^2} =\sqrt{64+36} =\sqrt{100} =10~units.
Answer:
Step-by-step explanation:
y = x + 1
y = 3x - 2
3x - 2 = x + 1
2x - 2 = 1
2x = 3
x = 3/2 or 1.5
y = 1.5 + 1
y = 2.5 or 2 1/2
(1.5, 2.5)
By the equations according to the <em>cylindrical</em> system of coordinates, the equation for a helix are x = 8 · cos (2π · t /T), y = 8 · sin (2π · t /T) and z = 6 · (t/T).
<h3>How to derive the equations of a helix in cylindrical form</h3>
According to the <em>cylindrical</em> system of coordinates, helix can be described by the following equations:
Radius
x = r · cos (2π · t /T) (1)
y = r · sin (2π · t /T) (2)
Height
z = H · (t/T) (3)
Where T is the period of one <em>complete</em> revolution.
If we know that r = 8 and H = 6, then the equations for the helix is:
x = 8 · cos (2π · t /T)
y = 8 · sin (2π · t /T)
z = 6 · (t/T)
How to learn more on helices: brainly.com/question/16911869
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